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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Pairs of monotone operators
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by S. Simons PDF
Trans. Amer. Math. Soc. 350 (1998), 2973-2980 Request permission

Addendum: Trans. Amer. Math. Soc. 350 (1998), 2953-2972.

Abstract:

This note is an addendum to Sum theorems for monotone operators and convex functions. In it, we prove some new results on convex functions and monotone operators, and use them to show that several of the constraint qualifications considered in the preceding paper are, in fact, equivalent.
References
  • M. Coodey and S. Simons, The convex function determined by a multifunction, Bull. Austral. Math. Soc. 54 (1996), 87–97.
  • J. L. Kelley and Isaac Namioka, Linear topological spaces, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J., 1963. With the collaboration of W. F. Donoghue, Jr., Kenneth R. Lucas, B. J. Pettis, Ebbe Thue Poulsen, G. Baley Price, Wendy Robertson, W. R. Scott, Kennan T. Smith. MR 0166578
  • Robert R. Phelps, Convex functions, monotone operators and differentiability, 2nd ed., Lecture Notes in Mathematics, vol. 1364, Springer-Verlag, Berlin, 1993. MR 1238715
  • S. Simons, Sum theorems for monotone operators and convex functions, Trans. Amer. Math. Soc., 350 (1998), 2953–2972.
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Additional Information
  • S. Simons
  • Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106-3080
  • MR Author ID: 189831
  • Email: simons@math.ucsb.edu
  • Received by editor(s): December 10, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 2973-2980
  • MSC (1991): Primary 47H05; Secondary 46B10
  • DOI: https://doi.org/10.1090/S0002-9947-98-02104-7
  • MathSciNet review: 1458312